Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification.
A quadrilateral is shown with one pair of opposite sides labeled with a single tick mark and the other pair of opposite sides labeled with double tick marks.
(1 point)
Responses
No
No
Yes, both pairs of opposite angles are congruent.
Yes, both pairs of opposite angles are congruent.
Yes, both pairs of opposite sides are parallel.
Yes, both pairs of opposite sides are parallel.
Yes, both pairs of opposite sides are congruent.
No
Yes, both pairs of opposite sides are parallel.
To determine whether the figure is a parallelogram, we need to check the properties of a parallelogram.
A parallelogram is a quadrilateral with both pairs of opposite sides parallel and equal in length.
Looking at the diagram, we can see that one pair of opposite sides is labeled with a single tick mark, and the other pair of opposite sides is labeled with double tick marks. This labeling indicates that the opposite sides are not equal in length.
Therefore, the correct answer is:
No
This is because at least one pair of opposite sides is not equal in length.